基于去随机化方法的Markov跳变系统有限频段控制
Derandomization based finite-frequency control for Markov Jump System

针对Markov跳变系统,本文利用去随机化方法将随机跳变系统转化为包含转移速率信息的确定系统,并讨论系统在给定时间内的控制问题,将特定频段干扰信号的频率信息引入控制器设计,以确保系统满足有限频段性能指标;同时从时间的角度设计给定时间控制器,使系统状态轨迹在工艺要求的时间内受限运动.所提方案不仅从频率、时间的尺度对系统频域特性及暂态性能进行综合分析,还充分考虑模态跳变对整体系统性能的影响,为降低现有设计方法的保守性提供了新的思路.最后仿真示例验证了所提方法的有效性及优越性.
This paper converts the stochastic Markov jump system into a deterministic system by the derandomization method and discusses the control issue within the given time interval. Not only the finite-frequency domain performance is satisfied by introducing the frequency information of external disturbances with specific band into the controller design, but also the state trajectories are guaranteed to stay within the desired bound in the required time via designing a given-time controller. The proposed scheme investigates the frequency domain and transient performances of the system from both frequency and time aspects. What is more, the effect of mode jumping on the performance of the whole system is analized, which provides a new way to reduce the conservativeness of the existing design methods. Finally, simulation example verifies the effectiveness and superiority of the proposed technique.